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Simplifying 7(x + -20) + -5(x + -22) = 2x + -20 Reorder the terms: 7(-20 + x) + -5(x + -22) = 2x + -20 (-20 * 7 + x * 7) + -5(x + -22) = 2x + -20 (-140 + 7x) + -5(x + -22) = 2x + -20 Reorder the terms: -140 + 7x + -5(-22 + x) = 2x + -20 -140 + 7x + (-22 * -5 + x * -5) = 2x + -20 -140 + 7x + (110 + -5x) = 2x + -20 Reorder the terms: -140 + 110 + 7x + -5x = 2x + -20 Combine like terms: -140 + 110 = -30 -30 + 7x + -5x = 2x + -20 Combine like terms: 7x + -5x = 2x -30 + 2x = 2x + -20 Reorder the terms: -30 + 2x = -20 + 2x Add '-2x' to each side of the equation. -30 + 2x + -2x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 0 = -20 + 2x + -2x -30 = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 = -20 + 0 -30 = -20 Solving -30 = -20 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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